# Functional Separation of Variables in Nonlinear PDEs: General Approach, New Solutions of Diffusion-Type Equations

@inproceedings{Polyanin2020FunctionalSO, title={Functional Separation of Variables in Nonlinear PDEs: General Approach, New Solutions of Diffusion-Type Equations}, author={Andrei D. Polyanin}, year={2020} }

The study gives a brief overview of existing modifications of the method of functional separation of variables for nonlinear PDEs. It proposes a more general approach to the construction of exact solutions to nonlinear equations of applied mathematics and mathematical physics, based on a special transformation with an integral term and the generalized splitting principle. The effectiveness of this approach is illustrated by nonlinear diffusion-type equations that contain reaction and convective…

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